TSTP Solution File: SEU098+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hOdvRjQU4G true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:10:27 EDT 2023
% Result : Theorem 3.24s 1.14s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 74 ( 18 unt; 15 typ; 0 def)
% Number of atoms : 148 ( 9 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 516 ( 65 ~; 57 |; 13 &; 362 @)
% ( 3 <=>; 10 =>; 6 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 2 con; 0-4 aty)
% Number of variables : 65 ( 0 ^; 65 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(finite_type,type,
finite: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(first_projection_type,type,
first_projection: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(function_image_type,type,
function_image: $i > $i > $i > $i > $i ).
thf(relation_of2_type,type,
relation_of2: $i > $i > $i > $o ).
thf(quasi_total_type,type,
quasi_total: $i > $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(first_projection_as_func_of_type,type,
first_projection_as_func_of: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__29_type,type,
sk__29: $i ).
thf(t100_funct_3,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( function_image @ ( cartesian_product2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) @ ( relation_dom @ A ) @ ( first_projection_as_func_of @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) @ A )
= ( relation_dom @ A ) ) ) ).
thf(zip_derived_cl158,plain,
! [X0: $i] :
( ( ( function_image @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( relation_dom @ X0 ) @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ X0 )
= ( relation_dom @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t100_funct_3]) ).
thf(redefinition_k2_funct_2,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( function @ C )
& ( quasi_total @ C @ A @ B )
& ( relation_of2 @ C @ A @ B ) )
=> ( ( function_image @ A @ B @ C @ D )
= ( relation_image @ C @ D ) ) ) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( quasi_total @ X0 @ X1 @ X2 )
| ~ ( function @ X0 )
| ( ( function_image @ X1 @ X2 @ X0 @ X3 )
= ( relation_image @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).
thf(zip_derived_cl565,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( relation_of2 @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( relation_dom @ X0 ) )
| ~ ( quasi_total @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( relation_dom @ X0 ) )
| ~ ( function @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
| ( ( relation_dom @ X0 )
= ( relation_image @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl158,zip_derived_cl153]) ).
thf(dt_k9_funct_3,axiom,
! [A: $i,B: $i] :
( ( relation_of2_as_subset @ ( first_projection_as_func_of @ A @ B ) @ ( cartesian_product2 @ A @ B ) @ A )
& ( quasi_total @ ( first_projection_as_func_of @ A @ B ) @ ( cartesian_product2 @ A @ B ) @ A )
& ( function @ ( first_projection_as_func_of @ A @ B ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] : ( quasi_total @ ( first_projection_as_func_of @ X0 @ X1 ) @ ( cartesian_product2 @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[dt_k9_funct_3]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] : ( function @ ( first_projection_as_func_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k9_funct_3]) ).
thf(zip_derived_cl578,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( relation_of2 @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ ( relation_dom @ X0 ) )
| ( ( relation_dom @ X0 )
= ( relation_image @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl30,zip_derived_cl29]) ).
thf(redefinition_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
<=> ( relation_of2 @ C @ A @ B ) ) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_of2 @ X0 @ X1 @ X2 )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] : ( relation_of2_as_subset @ ( first_projection_as_func_of @ X0 @ X1 ) @ ( cartesian_product2 @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[dt_k9_funct_3]) ).
thf(zip_derived_cl409,plain,
! [X0: $i,X1: $i] : ( relation_of2 @ ( first_projection_as_func_of @ X0 @ X1 ) @ ( cartesian_product2 @ X0 @ X1 ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl155,zip_derived_cl31]) ).
thf(zip_derived_cl2209,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
= ( relation_image @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl409]) ).
thf(fc13_finset_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A )
& ( finite @ B ) )
=> ( finite @ ( relation_image @ A @ B ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( finite @ X1 )
| ( finite @ ( relation_image @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc13_finset_1]) ).
thf(zip_derived_cl2210,plain,
! [X0: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( function @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
| ~ ( relation @ ( first_projection_as_func_of @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
| ~ ( finite @ X0 )
| ( finite @ ( relation_dom @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2209,zip_derived_cl39]) ).
thf(zip_derived_cl29_001,plain,
! [X0: $i,X1: $i] : ( function @ ( first_projection_as_func_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k9_funct_3]) ).
thf(dt_k7_funct_3,axiom,
! [A: $i,B: $i] :
( ( function @ ( first_projection @ A @ B ) )
& ( relation @ ( first_projection @ A @ B ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] : ( relation @ ( first_projection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_k7_funct_3]) ).
thf(redefinition_k9_funct_3,axiom,
! [A: $i,B: $i] :
( ( first_projection_as_func_of @ A @ B )
= ( first_projection @ A @ B ) ) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i] :
( ( first_projection_as_func_of @ X0 @ X1 )
= ( first_projection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_k9_funct_3]) ).
thf(zip_derived_cl319,plain,
! [X0: $i,X1: $i] : ( relation @ ( first_projection_as_func_of @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl154]) ).
thf(zip_derived_cl2221,plain,
! [X0: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( finite @ X0 )
| ( finite @ ( relation_dom @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2210,zip_derived_cl29,zip_derived_cl319]) ).
thf(t29_finset_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( finite @ ( relation_dom @ A ) )
<=> ( finite @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( finite @ ( relation_dom @ A ) )
<=> ( finite @ A ) ) ),
inference('cnf.neg',[status(esa)],[t29_finset_1]) ).
thf(zip_derived_cl167,plain,
( ~ ( finite @ sk__29 )
| ~ ( finite @ ( relation_dom @ sk__29 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl177,plain,
( ~ ( finite @ ( relation_dom @ sk__29 ) )
<= ~ ( finite @ ( relation_dom @ sk__29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf('0',plain,
( ~ ( finite @ ( relation_dom @ sk__29 ) )
| ~ ( finite @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl168,plain,
( ( finite @ sk__29 )
| ( finite @ ( relation_dom @ sk__29 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
( ( finite @ ( relation_dom @ sk__29 ) )
<= ( finite @ ( relation_dom @ sk__29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl168]) ).
thf(t26_finset_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( finite @ ( relation_dom @ A ) )
=> ( finite @ ( relation_rng @ A ) ) ) ) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ~ ( finite @ ( relation_dom @ X0 ) )
| ( finite @ ( relation_rng @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t26_finset_1]) ).
thf(t21_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( subset @ A @ ( cartesian_product2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) ) ) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ( subset @ X0 @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t21_relat_1]) ).
thf(t13_finset_1,axiom,
! [A: $i,B: $i] :
( ( ( subset @ A @ B )
& ( finite @ B ) )
=> ( finite @ A ) ) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i] :
( ( finite @ X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( finite @ X1 ) ),
inference(cnf,[status(esa)],[t13_finset_1]) ).
thf(zip_derived_cl530,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ( finite @ X0 )
| ~ ( finite @ ( cartesian_product2 @ ( relation_dom @ X0 ) @ ( relation_rng @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl159]) ).
thf(fc14_finset_1,axiom,
! [A: $i,B: $i] :
( ( ( finite @ A )
& ( finite @ B ) )
=> ( finite @ ( cartesian_product2 @ A @ B ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( finite @ X0 )
| ~ ( finite @ X1 )
| ( finite @ ( cartesian_product2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc14_finset_1]) ).
thf(zip_derived_cl538,plain,
! [X0: $i] :
( ( finite @ X0 )
| ~ ( relation @ X0 )
| ~ ( finite @ ( relation_dom @ X0 ) )
| ~ ( finite @ ( relation_rng @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl40]) ).
thf(zip_derived_cl548,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( finite @ ( relation_dom @ X0 ) )
| ( finite @ X0 )
| ~ ( relation @ X0 )
| ~ ( finite @ ( relation_dom @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl538]) ).
thf(zip_derived_cl551,plain,
! [X0: $i] :
( ( finite @ X0 )
| ~ ( finite @ ( relation_dom @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl548]) ).
thf(zip_derived_cl557,plain,
( ( ( finite @ sk__29 )
| ~ ( function @ sk__29 )
| ~ ( relation @ sk__29 ) )
<= ( finite @ ( relation_dom @ sk__29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl551]) ).
thf(zip_derived_cl166,plain,
function @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl165,plain,
relation @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl560,plain,
( ( finite @ sk__29 )
<= ( finite @ ( relation_dom @ sk__29 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl166,zip_derived_cl165]) ).
thf(zip_derived_cl178,plain,
( ~ ( finite @ sk__29 )
<= ~ ( finite @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf('1',plain,
( ( finite @ sk__29 )
| ~ ( finite @ ( relation_dom @ sk__29 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl560,zip_derived_cl178]) ).
thf('2',plain,
~ ( finite @ ( relation_dom @ sk__29 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl584,plain,
~ ( finite @ ( relation_dom @ sk__29 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl177,'2']) ).
thf(zip_derived_cl2229,plain,
( ~ ( finite @ sk__29 )
| ~ ( relation @ sk__29 )
| ~ ( function @ sk__29 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2221,zip_derived_cl584]) ).
thf(zip_derived_cl180,plain,
( ( finite @ sk__29 )
<= ( finite @ sk__29 ) ),
inference(split,[status(esa)],[zip_derived_cl168]) ).
thf('3',plain,
( ( finite @ sk__29 )
| ( finite @ ( relation_dom @ sk__29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl168]) ).
thf('4',plain,
finite @ sk__29,
inference('sat_resolution*',[status(thm)],['0','1','3']) ).
thf(zip_derived_cl585,plain,
finite @ sk__29,
inference(simpl_trail,[status(thm)],[zip_derived_cl180,'4']) ).
thf(zip_derived_cl165_002,plain,
relation @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl166_003,plain,
function @ sk__29,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2236,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2229,zip_derived_cl585,zip_derived_cl165,zip_derived_cl166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hOdvRjQU4G true
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 13:11:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.24/1.14 % Solved by fo/fo1_av.sh.
% 3.24/1.14 % done 781 iterations in 0.359s
% 3.24/1.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.24/1.14 % SZS output start Refutation
% See solution above
% 3.24/1.15
% 3.24/1.15
% 3.24/1.15 % Terminating...
% 4.34/1.37 % Runner terminated.
% 4.34/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------